k^2=-23k+24

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Solution for k^2=-23k+24 equation:


Simplifying
k2 = -23k + 24

Reorder the terms:
k2 = 24 + -23k

Solving
k2 = 24 + -23k

Solving for variable 'k'.

Reorder the terms:
-24 + 23k + k2 = 24 + -23k + -24 + 23k

Reorder the terms:
-24 + 23k + k2 = 24 + -24 + -23k + 23k

Combine like terms: 24 + -24 = 0
-24 + 23k + k2 = 0 + -23k + 23k
-24 + 23k + k2 = -23k + 23k

Combine like terms: -23k + 23k = 0
-24 + 23k + k2 = 0

Factor a trinomial.
(-24 + -1k)(1 + -1k) = 0

Subproblem 1

Set the factor '(-24 + -1k)' equal to zero and attempt to solve: Simplifying -24 + -1k = 0 Solving -24 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1k = 0 + 24 -1k = 0 + 24 Combine like terms: 0 + 24 = 24 -1k = 24 Divide each side by '-1'. k = -24 Simplifying k = -24

Subproblem 2

Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1

Solution

k = {-24, 1}

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